Identifying Functions (Additional Practice)

Front

How do you determine if a relation is a function?

Back

A relation is a function if the vertical line test crosses only one point on the graph.

Front

What is the vertical line test?

Back

A graph is not a function if you can draw a vertical line and it crosses the graph in more than 1 location.

Front

Does this picture depict a function? (Yes/No)

Back

Yes.

Front

Which of the following is a function? (Provide an example)

Back

An example of a function is y = 2x + 3.

Front

Is the following graph a function? (Yes/No)

Back

Yes, because the x never repeats.

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function means that each output is related to exactly one input.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value maps to only one y-value.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.